Finite-size scaling of the photon-blockade breakdown dissipative quantum phase transition

We prove that the observable telegraph signal accompanying the bistability in the photon-blockade-breakdown regime of the driven and lossy Jaynes–Cummings model is the finite-size precursor of what in the thermodynamic limit is a genuine first-order phase transition. We construct a finite-size scali...

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Main Authors: A. Vukics, A. Dombi, J. M. Fink, P. Domokos
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2019-06-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2019-06-03-150/pdf/
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author A. Vukics
A. Dombi
J. M. Fink
P. Domokos
author_facet A. Vukics
A. Dombi
J. M. Fink
P. Domokos
author_sort A. Vukics
collection DOAJ
description We prove that the observable telegraph signal accompanying the bistability in the photon-blockade-breakdown regime of the driven and lossy Jaynes–Cummings model is the finite-size precursor of what in the thermodynamic limit is a genuine first-order phase transition. We construct a finite-size scaling of the system parameters to a well-defined thermodynamic limit, in which the system remains the same microscopic system, but the telegraph signal becomes macroscopic both in its timescale and intensity. The existence of such a finite-size scaling completes and justifies the classification of the photon-blockade-breakdown effect as a first-order dissipative quantum phase transition.
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spelling doaj.art-d81121f659994aa9977ba31973d00f532022-12-22T01:10:27ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2019-06-01315010.22331/q-2019-06-03-15010.22331/q-2019-06-03-150Finite-size scaling of the photon-blockade breakdown dissipative quantum phase transitionA. VukicsA. DombiJ. M. FinkP. DomokosWe prove that the observable telegraph signal accompanying the bistability in the photon-blockade-breakdown regime of the driven and lossy Jaynes–Cummings model is the finite-size precursor of what in the thermodynamic limit is a genuine first-order phase transition. We construct a finite-size scaling of the system parameters to a well-defined thermodynamic limit, in which the system remains the same microscopic system, but the telegraph signal becomes macroscopic both in its timescale and intensity. The existence of such a finite-size scaling completes and justifies the classification of the photon-blockade-breakdown effect as a first-order dissipative quantum phase transition.https://quantum-journal.org/papers/q-2019-06-03-150/pdf/
spellingShingle A. Vukics
A. Dombi
J. M. Fink
P. Domokos
Finite-size scaling of the photon-blockade breakdown dissipative quantum phase transition
Quantum
title Finite-size scaling of the photon-blockade breakdown dissipative quantum phase transition
title_full Finite-size scaling of the photon-blockade breakdown dissipative quantum phase transition
title_fullStr Finite-size scaling of the photon-blockade breakdown dissipative quantum phase transition
title_full_unstemmed Finite-size scaling of the photon-blockade breakdown dissipative quantum phase transition
title_short Finite-size scaling of the photon-blockade breakdown dissipative quantum phase transition
title_sort finite size scaling of the photon blockade breakdown dissipative quantum phase transition
url https://quantum-journal.org/papers/q-2019-06-03-150/pdf/
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